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Finding the Third Proportional to 170,407.50 and 369,025.50

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Solution

The third proportional to 170,407.50 and 369,025.50 is: 799,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,407.50 : 369,025.50 = 369,025.50 : x
  2. Step 2: Convert to fraction form
    170,407.50/369,025.50 = 369,025.50/x
  3. Step 3: Cross multiply
    170,407.50x = 369,025.50 × 369,025.50
  4. Step 4: Simplify right side
    170,407.50x = 136,179,819,650.25
  5. Step 5: Solve for x
    x = 136,179,819,650.25/170,407.50
  6. Step 6: Final answer
    x = 799,142.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.